Uniform boundedness of conditional expectation operators on a Banach function space

Masato Kikuchi

doi:10.7153/mia-16-35

Uniform boundedness of conditional expectation operators on a Banach function space

Masato Kikuchi^*

^*この論文の責任著者

数学科

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

5 被引用数 (Scopus)

抄録

Let X be a Banach function space over a nonatomic probability space. The quasi-Banach space weak-X is defined in a natural way. We give some necessary and sufficient conditions on X for all the conditional expectation operators to be uniformly bounded operators from X into weak-X .

本文言語	英語
論文番号	16-35
ページ（範囲）	483-499
ページ数	17
ジャーナル	Mathematical Inequalities and Applications
巻	16
号	2
DOI	https://doi.org/10.7153/mia-16-35
出版ステータス	出版済み - 2013

ASJC Scopus 主題領域

数学一般
応用数学

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10.7153/mia-16-35

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AB - Let X be a Banach function space over a nonatomic probability space. The quasi-Banach space weak-X is defined in a natural way. We give some necessary and sufficient conditions on X for all the conditional expectation operators to be uniformly bounded operators from X into weak-X .

KW - Banach function space

KW - Conditional expectation operator

KW - Martingale inequality

KW - Weak type inequality

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M3 - 学術論文

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Uniform boundedness of conditional expectation operators on a Banach function space

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